On the number of periodic classical trajectories in a Hamiltonian dynamical system

Details On the number of periodic classical trajectories in a Hamiltonian dynamical system On the number of periodic classical trajectories in a Hamiltonian dynamical system

1995-02-08

arxiv.org/abs/hep-th/9502055v1

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

Periodic classical trajectories are of fundamental importance both in classical
and quantum physics. Here we develop path integral techniques to investigate
such trajectories in an arbitrary, not necessarily energy conserving
hamiltonian system. In particular, we present a simple derivation of a lower
bound for the number of periodic classical trajectories.

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